Question

Solve for the indicated variable. $$ 5-(2 x-3)=7-(3 x+5) $$

   Solve for the indicated variable.
$$
5-(2 x-3)=7-(3 x+5)
$$

Algebra and Trigonometry

Algebra and Trigonometry

Cynthia Y. Young 4th Edition

Chapter 1, Problem 30

Instant Answer

Solved by Expert Amy Jiang

06/30/2020

Step 1

$$ 5 - 2x + 3 = 7 - 3x - 5 $$ Show more…

Show all steps

lock

Thanks for your feedback!

Solve for the indicated variable. $$ 5-(2 x-3)=7-(3 x+5) $$

Play audio

Feedback

Powered by NumerAI

Amy Jiang and 50 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Linear Equations

Linear equations are algebraic equations in which each term is either a constant or the product of a constant and a single variable. They represent a straight line when plotted on a graph, and their solutions are found by isolating the variable to determine its value.

Distributive Property

The distributive property is a fundamental algebraic rule that allows one to remove parentheses by multiplying the term outside by each term inside the parentheses. This property is essential for simplifying expressions that involve the subtraction or addition of grouped terms.

Combining Like Terms

Combining like terms is the process of simplifying algebraic expressions by adding or subtracting coefficients of terms that have the same variable factor. This simplification is a critical step in solving equations as it consolidates terms and makes isolating the variable more straightforward.

Properties of Equality

The properties of equality state that if equal values are added to, subtracted from, multiplied by, or divided by the same number (with the exception of division by zero), the equality remains balanced. These properties are vital when formally rearranging equations to solve for the unknown variable.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later